The song has received favorable reviews from critics. Jon Dolan of Rolling Stone gave the song a rating of 3 1/2 out of 5 stars, describing the song as a "loopy little soul sketch", and stating the song's "organ spritz and puppy-eyed Casio bassoon evoke "Son of a Preacher Man." Dolan also acclaimed Ruby Amanfu's backing vocals, stating "Ruby Amanfu’s harried backing warble fits a song that adds an awkwardly personal wrinkle to the White Stripes errant primitivism."
Jem Aswad of Billboard described the song as "an unusual but tantalizing lead track" and also stated, "Like the recent material from his other bands - and its title -- "Love Interruption" leaves you lusting for more."
NME had a mixed review, stating "Musically, there's no trademark JW riffing. The song is rather a drumless, minimalist affair based on the chord progression of The Beta Band's 'Dry The Rain' (inadvertently, I'm sure, although the idea of Jack blazing up a spliff to 'The Three EPs' is an awesome), doodling electric piano and an unnamed female vocal echo (or a treated Jack vocal, maybe). The intensity is in the lyrics and its powerful, repetitive chorus."